Numeric.Log:$clog1p from log-domain-0.10.2.1, B

Details

Time bar (total: 5.2s)

analyze982.0ms (18.8%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%199.9%-99.9%0%0%0%1
0%0%399.8%-299.8%0%0%0%2
0%0%799.6%-699.6%0%0%0%3
0%0%1599.2%-1499.2%0%0%0%4
0%0%3198.4%-3098.4%0%0%0%5
0%0%6396.9%-6296.9%0%0%0%6
0%0%12793.8%-12693.8%0%0%0%7
0%0%25587.5%-25487.5%0%0%0%8
0%0%51175%-51075%0%0%0%9
0%0%102350%-102250%0%0%0%10
0%0%204700%-204600%0%0%0%11
0%0%409400%-409300%0%0%0%12
Compiler

Compiled 10 to 8 computations (20% saved)

sample1.8s (35.2%)

Results
1.4s8246×body256valid
387.0ms2784×body256invalid
5.0ms10×body2048valid
Bogosity

preprocess17.0ms (0.3%)

Algorithm
2×egg-herbie
Rules
4×+-commutative
2×1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0923
11323
011
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
Outputs
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
Compiler

Compiled 10 to 8 computations (20% saved)

simplify12.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
4×+-commutative
2×1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0923
11323
Stop Event
1×saturated
Counts
1 → 1
Calls
Call 1
Inputs
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
Outputs
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))

eval0.0ms (0%)

Compiler

Compiled 9 to 7 computations (22.2% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Accurracy
99.8%
Counts
2 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.8%
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
▶99.8%
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
Compiler

Compiled 18 to 14 computations (22.2% saved)

localize76.0ms (1.5%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
✓100.0%
(sqrt.f64 (+.f64 x 1))
✓99.8%
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
Compiler

Compiled 25 to 19 computations (24% saved)

series5.0ms (0.1%)

Counts
3 → 12
Calls

9 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
1.0ms
x
@-inf
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
0.0ms
x
@0
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
0.0ms
x
@inf
(sqrt.f64 (+.f64 x 1))
0.0ms
x
@-inf
(sqrt.f64 (+.f64 x 1))

rewrite81.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
882×log-prod
848×prod-diff
678×prod-exp
596×fma-def
560×pow-prod-down
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0951
119551
2272551
Stop Event
1×node limit
Counts
3 → 133
Calls
Call 1
Inputs
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(sqrt.f64 (+.f64 x 1))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
Outputs
(+.f64 0 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 1)
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1)
(*.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (neg.f64 x) (/.f64 1 (+.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) -1)))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) -2) (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) -1/2) (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2))) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (/.f64 (cbrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2))) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 x (neg.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1)
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 3)
(pow.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2)
(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -1)
(pow.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) 1) -1)
(neg.f64 (/.f64 x (+.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) -1)))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2))
(log.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1)))))
(exp.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 1))
(exp.f64 (*.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 1) 1))
(exp.f64 (*.f64 (*.f64 1/3 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1))))) 3))
(exp.f64 (*.f64 (*.f64 3 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1))))) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1))))) 2))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))) (log.f64 x)) -1))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (neg.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))))
(exp.f64 (+.f64 (neg.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) (*.f64 (log.f64 x) 1)))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(+.f64 0 (sqrt.f64 (+.f64 x 1)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1)
(*.f64 1 (sqrt.f64 (+.f64 x 1)))
(*.f64 (sqrt.f64 (+.f64 x 1)) 1)
(*.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (+.f64 x 1) 1/6))
(*.f64 (pow.f64 (+.f64 x 1) 1/6) (cbrt.f64 (+.f64 x 1)))
(*.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4))
(/.f64 (hypot.f64 1 (pow.f64 x 3/2)) (hypot.f64 x (sqrt.f64 (-.f64 1 x))))
(/.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (+.f64 x -1)))
(pow.f64 (+.f64 x 1) 1/2)
(pow.f64 (sqrt.f64 (+.f64 x 1)) 1)
(pow.f64 (cbrt.f64 (+.f64 x 1)) 3/2)
(pow.f64 (pow.f64 (+.f64 x 1) 1/6) 3)
(pow.f64 (pow.f64 (+.f64 x 1) 2) 1/4)
(pow.f64 (pow.f64 (+.f64 x 1) 3) 1/6)
(pow.f64 (pow.f64 (+.f64 x 1) 1/4) 2)
(pow.f64 (pow.f64 (+.f64 x 1) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (+.f64 x 1)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x 1)))))
(cbrt.f64 (pow.f64 (+.f64 x 1) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))
(expm1.f64 (*.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))) 1))
(hypot.f64 1 (sqrt.f64 x))
(exp.f64 (*.f64 1/2 (log1p.f64 x)))
(exp.f64 (*.f64 (log1p.f64 x) 1/2))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 1))
(exp.f64 (*.f64 (*.f64 (log1p.f64 x) 1) 1/2))
(exp.f64 (*.f64 (*.f64 (log1p.f64 x) 1/2) 1))
(exp.f64 (*.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 1) 1))
(exp.f64 (*.f64 (*.f64 1/3 (*.f64 1/2 (log1p.f64 x))) 3))
(exp.f64 (*.f64 (*.f64 1/4 (log1p.f64 x)) 2))
(exp.f64 (*.f64 (*.f64 3/2 (log1p.f64 x)) 1/3))
(exp.f64 (*.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 3) 1/3))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x 1))))
(fma.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))) -1)
(fma.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1 -1)
(fma.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2)) -1)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2)) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) -1)
(fma.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) -1)
(fma.f64 (neg.f64 x) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) -1)
(fma.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)))) -1)
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 1)
(-.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 x 1) (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1)
(*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2)) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)))
(*.f64 (neg.f64 x) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(/.f64 1 (/.f64 (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))
(/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (neg.f64 x)))
(/.f64 (neg.f64 x) (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (+.f64 x 1) (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (neg.f64 (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)))))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3) 1/3)
(pow.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) 2)
(pow.f64 (/.f64 (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) -1)
(pow.f64 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (neg.f64 x)) -1)
(sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2))
(log.f64 (exp.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))
(exp.f64 (*.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))) 1))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))) 1) 1))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 2))
(log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) 1)
(fma.f64 (sqrt.f64 (+.f64 x 1)) 1 1)
(fma.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (+.f64 x 1) 1/6) 1)
(fma.f64 (pow.f64 (+.f64 x 1) 1/6) (cbrt.f64 (+.f64 x 1)) 1)
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) 1)

simplify75.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
1736×fma-def
892×unswap-sqr
876×distribute-lft-in
852×distribute-rgt-in
426×exp-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03163885
17153601
223643515
Stop Event
1×node limit
Counts
145 → 193
Calls
Call 1
Inputs
(*.f64 1/2 x)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3))))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -5/128 (pow.f64 x 4)) (*.f64 1/16 (pow.f64 x 3)))))
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) 1))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 1 (*.f64 1/16 (pow.f64 x 3)))))
2
(+.f64 (*.f64 1/2 x) 2)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) 2))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 2 (*.f64 1/16 (pow.f64 x 3)))))
(+.f64 0 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 1)
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1)
(*.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (neg.f64 x) (/.f64 1 (+.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) -1)))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) -2) (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) -1/2) (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2))) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (/.f64 (cbrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2))) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 x (neg.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1)
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 3)
(pow.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2)
(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -1)
(pow.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) 1) -1)
(neg.f64 (/.f64 x (+.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) -1)))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2))
(log.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1)))))
(exp.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 1))
(exp.f64 (*.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 1) 1))
(exp.f64 (*.f64 (*.f64 1/3 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1))))) 3))
(exp.f64 (*.f64 (*.f64 3 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1))))) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1))))) 2))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))) (log.f64 x)) -1))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (neg.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))))
(exp.f64 (+.f64 (neg.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) (*.f64 (log.f64 x) 1)))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(+.f64 0 (sqrt.f64 (+.f64 x 1)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1)
(*.f64 1 (sqrt.f64 (+.f64 x 1)))
(*.f64 (sqrt.f64 (+.f64 x 1)) 1)
(*.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (+.f64 x 1) 1/6))
(*.f64 (pow.f64 (+.f64 x 1) 1/6) (cbrt.f64 (+.f64 x 1)))
(*.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4))
(/.f64 (hypot.f64 1 (pow.f64 x 3/2)) (hypot.f64 x (sqrt.f64 (-.f64 1 x))))
(/.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (+.f64 x -1)))
(pow.f64 (+.f64 x 1) 1/2)
(pow.f64 (sqrt.f64 (+.f64 x 1)) 1)
(pow.f64 (cbrt.f64 (+.f64 x 1)) 3/2)
(pow.f64 (pow.f64 (+.f64 x 1) 1/6) 3)
(pow.f64 (pow.f64 (+.f64 x 1) 2) 1/4)
(pow.f64 (pow.f64 (+.f64 x 1) 3) 1/6)
(pow.f64 (pow.f64 (+.f64 x 1) 1/4) 2)
(pow.f64 (pow.f64 (+.f64 x 1) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (+.f64 x 1)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x 1)))))
(cbrt.f64 (pow.f64 (+.f64 x 1) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))
(expm1.f64 (*.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))) 1))
(hypot.f64 1 (sqrt.f64 x))
(exp.f64 (*.f64 1/2 (log1p.f64 x)))
(exp.f64 (*.f64 (log1p.f64 x) 1/2))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 1))
(exp.f64 (*.f64 (*.f64 (log1p.f64 x) 1) 1/2))
(exp.f64 (*.f64 (*.f64 (log1p.f64 x) 1/2) 1))
(exp.f64 (*.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 1) 1))
(exp.f64 (*.f64 (*.f64 1/3 (*.f64 1/2 (log1p.f64 x))) 3))
(exp.f64 (*.f64 (*.f64 1/4 (log1p.f64 x)) 2))
(exp.f64 (*.f64 (*.f64 3/2 (log1p.f64 x)) 1/3))
(exp.f64 (*.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 3) 1/3))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x 1))))
(fma.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))) -1)
(fma.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1 -1)
(fma.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2)) -1)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2)) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) -1)
(fma.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) -1)
(fma.f64 (neg.f64 x) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) -1)
(fma.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)))) -1)
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 1)
(-.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 x 1) (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1)
(*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2)) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)))
(*.f64 (neg.f64 x) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(/.f64 1 (/.f64 (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))
(/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (neg.f64 x)))
(/.f64 (neg.f64 x) (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (+.f64 x 1) (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (neg.f64 (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)))))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3) 1/3)
(pow.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) 2)
(pow.f64 (/.f64 (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) -1)
(pow.f64 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (neg.f64 x)) -1)
(sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2))
(log.f64 (exp.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))
(exp.f64 (*.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))) 1))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))) 1) 1))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 2))
(log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) 1)
(fma.f64 (sqrt.f64 (+.f64 x 1)) 1 1)
(fma.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (+.f64 x 1) 1/6) 1)
(fma.f64 (pow.f64 (+.f64 x 1) 1/6) (cbrt.f64 (+.f64 x 1)) 1)
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) 1)
Outputs
(*.f64 1/2 x)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(fma.f64 -1/8 (*.f64 x x) (*.f64 1/2 x))
(*.f64 x (+.f64 1/2 (*.f64 -1/8 x)))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3))))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (*.f64 1/16 (pow.f64 x 3))))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/16 (pow.f64 x 3) (*.f64 1/2 x)))
(fma.f64 1/2 x (*.f64 (*.f64 x x) (+.f64 -1/8 (*.f64 x 1/16))))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -5/128 (pow.f64 x 4)) (*.f64 1/16 (pow.f64 x 3)))))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 -5/128 (pow.f64 x 4) (*.f64 1/16 (pow.f64 x 3)))))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 1/16 (pow.f64 x 3) (*.f64 -5/128 (pow.f64 x 4)))))
(fma.f64 x (*.f64 x -1/8) (fma.f64 1/16 (pow.f64 x 3) (fma.f64 -5/128 (pow.f64 x 4) (*.f64 1/2 x))))
1
(+.f64 (*.f64 1/2 x) 1)
(fma.f64 1/2 x 1)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) 1))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 1))
(fma.f64 1/2 x (fma.f64 x (*.f64 x -1/8) 1))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 1 (*.f64 1/16 (pow.f64 x 3)))))
(fma.f64 -1/8 (*.f64 x x) (+.f64 (fma.f64 1/2 x 1) (*.f64 1/16 (pow.f64 x 3))))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 1/16 (pow.f64 x 3) 1)))
(fma.f64 1/2 x (fma.f64 x (*.f64 x -1/8) (fma.f64 1/16 (pow.f64 x 3) 1)))
2
(+.f64 (*.f64 1/2 x) 2)
(fma.f64 1/2 x 2)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) 2))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 2))
(fma.f64 x (*.f64 x -1/8) (fma.f64 1/2 x 2))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 2 (*.f64 1/16 (pow.f64 x 3)))))
(fma.f64 -1/8 (*.f64 x x) (+.f64 (fma.f64 1/2 x 2) (*.f64 1/16 (pow.f64 x 3))))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 1/16 (pow.f64 x 3) 2)))
(fma.f64 x (*.f64 x -1/8) (fma.f64 1/16 (pow.f64 x 3) (fma.f64 1/2 x 2)))
(+.f64 0 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 1)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -2)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (neg.f64 x) (/.f64 1 (+.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) -1)))
(/.f64 (neg.f64 x) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) -2) (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) -1/2) (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))))
(/.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) -1/2) (/.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2))) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2))))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2)) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (/.f64 (cbrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2))) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2)))
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(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) 1)
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(fma.f64 (sqrt.f64 (+.f64 x 1)) 1 1)
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(fma.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (+.f64 x 1) 1/6) 1)
(+.f64 1 (pow.f64 (pow.f64 (+.f64 x 1) 1/6) 3))
(fma.f64 (pow.f64 (+.f64 x 1) 1/6) (cbrt.f64 (+.f64 x 1)) 1)
(fma.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (+.f64 x 1) 1/6) 1)
(+.f64 1 (pow.f64 (pow.f64 (+.f64 x 1) 1/6) 3))
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) 1)
(+.f64 1 (sqrt.f64 (+.f64 x 1)))

eval65.0ms (1.2%)

Compiler

Compiled 2612 to 2035 computations (22.1% saved)

prune32.0ms (0.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1885193
Fresh000
Picked011
Done000
Total1886194
Accurracy
100.0%
Counts
194 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶68.4%
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
✓99.8%
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
▶67.7%
(/.f64 x 2)
▶38.8%
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
▶88.0%
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))))
▶66.3%
(*.f64 x (+.f64 1/2 (*.f64 -1/8 x)))
▶68.4%
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
✓99.8%
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
▶67.7%
(/.f64 x 2)
▶38.8%
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
▶88.0%
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))))
▶66.3%
(*.f64 x (+.f64 1/2 (*.f64 -1/8 x)))
Compiler

Compiled 210 to 166 computations (21% saved)

localize1.0s (19.5%)

Local Accuracy

Found 7 expressions with local accuracy:

NewAccuracyProgram
100.0%
(sqrt.f64 (+.f64 x 1))
✓38.8%
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
✓100.0%
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
✓100.0%
(-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)))
✓100.0%
(pow.f64 (+.f64 x 1) 3/2)
✓99.9%
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))))
✓88.3%
(/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))
Compiler

Compiled 125 to 95 computations (24% saved)

series16.0ms (0.3%)

Counts
6 → 52
Calls

18 calls:

TimeVariablePointExpression
4.0ms
x
@inf
(/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))
4.0ms
x
@-inf
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))))
3.0ms
x
@inf
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))))
2.0ms
x
@-inf
(/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))
1.0ms
x
@0
(/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))

rewrite124.0ms (2.4%)

Algorithm
1×batch-egg-rewrite
Rules
806×expm1-udef
802×log1p-udef
498×add-sqr-sqrt
480×pow1
478×*-un-lft-identity
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
021158
1490146
26985146
Stop Event
1×node limit
Counts
6 → 216
Calls
Call 1
Inputs
(/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))))
(pow.f64 (+.f64 x 1) 3/2)
(-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)))
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))) 1)
(*.f64 x (/.f64 1 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))
(*.f64 1 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) 1)
(*.f64 (cbrt.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) 2) (cbrt.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))))
(*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))))
(*.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 x 1) 3/4))) (/.f64 (sqrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 x 1) 3/4))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))))
(*.f64 (neg.f64 x) (/.f64 1 (+.f64 -1 (neg.f64 (pow.f64 (+.f64 x 1) 3/2)))))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) x)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) 2)) (/.f64 x (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))))
(*.f64 (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 x 1) 3/4))) (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 x 1) 3/4))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) 1) (/.f64 (cbrt.f64 x) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) 2)) (cbrt.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (hypot.f64 1 (pow.f64 (+.f64 x 1) 3/4))) (/.f64 (cbrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 x 1) 3/4))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 9/2))) (+.f64 1 (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (+.f64 x 1) 3/2))))
(*.f64 (/.f64 x (-.f64 1 (pow.f64 (+.f64 x 1) 3))) (-.f64 1 (pow.f64 (+.f64 x 1) 3/2)))
(pow.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) 1)
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) 3)
(pow.f64 (pow.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 x 1) 3/4))) 2)
(pow.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) x) -1)
(neg.f64 (/.f64 x (+.f64 -1 (neg.f64 (pow.f64 (+.f64 x 1) 3/2)))))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) 2))
(log.f64 (exp.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))))
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))))
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 (pow.f64 (+.f64 x 1) 3/2))))
(exp.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 (pow.f64 (+.f64 x 1) 3/2))) 1))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))))
(+.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 x (-.f64 1 (hypot.f64 1 (sqrt.f64 x))))))
(+.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (*.f64 (+.f64 x (-.f64 1 (hypot.f64 1 (sqrt.f64 x)))) (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))))
(+.f64 (*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 x 2)) (*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (neg.f64 (hypot.f64 1 (sqrt.f64 x)))))
(+.f64 (*.f64 (+.f64 x 2) (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) (*.f64 (neg.f64 (hypot.f64 1 (sqrt.f64 x))) (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (-.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x)))))) 1)
(/.f64 x (/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (-.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x)))))
(/.f64 1 (/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (*.f64 x (-.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x))))))
(/.f64 (-.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x))) (/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) x))
(/.f64 (-.f64 (pow.f64 (+.f64 x 2) 3) (pow.f64 (+.f64 x 1) 3/2)) (*.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) x) (+.f64 (pow.f64 (+.f64 x 2) 2) (+.f64 (+.f64 x 1) (*.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 x 2) 2) (+.f64 x 1)) (*.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) x) (+.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x)))))
(/.f64 (*.f64 x (-.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x)))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))
(/.f64 (*.f64 x (-.f64 (pow.f64 (+.f64 x 2) 3) (pow.f64 (+.f64 x 1) 3/2))) (*.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (pow.f64 (+.f64 x 2) 2) (+.f64 (+.f64 x 1) (*.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x)))))))
(/.f64 (*.f64 x (-.f64 (pow.f64 (+.f64 x 2) 2) (+.f64 x 1))) (*.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x)))))
(/.f64 (*.f64 (neg.f64 x) (-.f64 (pow.f64 (+.f64 x 2) 3) (pow.f64 (+.f64 x 1) 3/2))) (*.f64 (+.f64 -1 (neg.f64 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 (pow.f64 (+.f64 x 2) 2) (+.f64 (+.f64 x 1) (*.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x)))))))
(/.f64 (*.f64 (neg.f64 x) (-.f64 (pow.f64 (+.f64 x 2) 2) (+.f64 x 1))) (*.f64 (+.f64 -1 (neg.f64 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x 2) 3) (pow.f64 (+.f64 x 1) 3/2)) x) (*.f64 (+.f64 (pow.f64 (+.f64 x 2) 2) (+.f64 (+.f64 x 1) (*.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x))))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x 2) 3) (pow.f64 (+.f64 x 1) 3/2)) 1) (*.f64 (+.f64 (pow.f64 (+.f64 x 2) 2) (+.f64 (+.f64 x 1) (*.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x))))) (/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) x)))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x 2) 3) (pow.f64 (+.f64 x 1) 3/2)) (neg.f64 x)) (*.f64 (+.f64 (pow.f64 (+.f64 x 2) 2) (+.f64 (+.f64 x 1) (*.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x))))) (+.f64 -1 (neg.f64 (pow.f64 (+.f64 x 1) 3/2)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x 2) 2) (+.f64 x 1)) x) (*.f64 (+.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x 2) 2) (+.f64 x 1)) 1) (*.f64 (+.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x))) (/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) x)))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x 2) 2) (+.f64 x 1)) (neg.f64 x)) (*.f64 (+.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x))) (+.f64 -1 (neg.f64 (pow.f64 (+.f64 x 1) 3/2)))))
(/.f64 (neg.f64 (*.f64 x (-.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x))))) (+.f64 -1 (neg.f64 (pow.f64 (+.f64 x 1) 3/2))))
(/.f64 (*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (-.f64 (pow.f64 (+.f64 x 2) 3) (pow.f64 (+.f64 x 1) 3/2))) (+.f64 (pow.f64 (+.f64 x 2) 2) (+.f64 (+.f64 x 1) (*.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x))))))
(/.f64 (*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (-.f64 (pow.f64 (+.f64 x 2) 2) (+.f64 x 1))) (+.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x))))
(/.f64 (*.f64 (-.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x))) (neg.f64 x)) (+.f64 -1 (neg.f64 (pow.f64 (+.f64 x 1) 3/2))))
(/.f64 (*.f64 (neg.f64 x) (-.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x)))) (+.f64 -1 (neg.f64 (pow.f64 (+.f64 x 1) 3/2))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x 2) 3) (pow.f64 (+.f64 x 1) 3/2)) (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) (+.f64 (pow.f64 (+.f64 x 2) 2) (+.f64 (+.f64 x 1) (*.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x 2) 2) (+.f64 x 1)) (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) (+.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x))))
(/.f64 (/.f64 (*.f64 x (-.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x)))) 1) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))
(/.f64 (/.f64 (*.f64 x (-.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x)))) (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) 2)) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))
(/.f64 (/.f64 (*.f64 x (-.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x)))) (hypot.f64 1 (pow.f64 (+.f64 x 1) 3/4))) (hypot.f64 1 (pow.f64 (+.f64 x 1) 3/4)))
(pow.f64 (*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (-.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x)))) 1)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (-.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x))))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (-.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x)))) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 (*.f64 x (-.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x))))) (hypot.f64 1 (pow.f64 (+.f64 x 1) 3/4))) 2)
(sqrt.f64 (pow.f64 (*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (-.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x)))) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) (-.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (-.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x)))))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (-.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x)))) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) 3) (pow.f64 (-.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x))) 3) (pow.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (-.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x))))))
(exp.f64 (-.f64 (log.f64 (*.f64 x (-.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x))))) (log1p.f64 (pow.f64 (+.f64 x 1) 3/2))))
(exp.f64 (*.f64 (-.f64 (log.f64 (*.f64 x (-.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x))))) (log1p.f64 (pow.f64 (+.f64 x 1) 3/2))) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (-.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x))))))
(-.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) 1)
(*.f64 1 (pow.f64 (+.f64 x 1) 3/2))
(*.f64 (+.f64 x 1) (hypot.f64 1 (sqrt.f64 x)))
(*.f64 (pow.f64 (+.f64 x 1) 3/2) 1)
(*.f64 (hypot.f64 1 (sqrt.f64 x)) (+.f64 x 1))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 (+.f64 x 1)) (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (pow.f64 (+.f64 x 1) 3/4) (pow.f64 (+.f64 x 1) 3/4))
(*.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/4) 3) (pow.f64 (pow.f64 (+.f64 x 1) 1/4) 3))
(*.f64 (pow.f64 1 3/2) (pow.f64 (+.f64 x 1) 3/2))
(*.f64 (pow.f64 (hypot.f64 1 (sqrt.f64 x)) 3/2) (pow.f64 (hypot.f64 1 (sqrt.f64 x)) 3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 3/2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 3/2))
(*.f64 (*.f64 (+.f64 x 1) (cbrt.f64 (+.f64 x 1))) (cbrt.f64 (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (*.f64 (+.f64 x 1) (pow.f64 (+.f64 x 1) 1/4)) (pow.f64 (+.f64 x 1) 1/4))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (hypot.f64 1 (sqrt.f64 x))) (fma.f64 x x (-.f64 1 x)))
(/.f64 (*.f64 (fma.f64 x x -1) (hypot.f64 1 (sqrt.f64 x))) (+.f64 x -1))
(sqrt.f64 (pow.f64 (+.f64 x 1) 3))
(log.f64 (exp.f64 (pow.f64 (+.f64 x 1) 3/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 x 1) 3/2))))
(cbrt.f64 (pow.f64 (+.f64 x 1) 9/2))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 x 1) 3/2)))
(exp.f64 (*.f64 3/2 (log1p.f64 x)))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 3))
(exp.f64 (*.f64 (*.f64 3/2 (log1p.f64 x)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 x 1) 3/2)))
(+.f64 1 (+.f64 x (-.f64 1 (hypot.f64 1 (sqrt.f64 x)))))
(+.f64 1 (*.f64 (+.f64 x (-.f64 1 (hypot.f64 1 (sqrt.f64 x)))) 1))
(+.f64 (+.f64 x 1) (+.f64 1 (neg.f64 (hypot.f64 1 (sqrt.f64 x)))))
(+.f64 (+.f64 x 1) (-.f64 1 (hypot.f64 1 (sqrt.f64 x))))
(+.f64 (+.f64 x 2) (neg.f64 (hypot.f64 1 (sqrt.f64 x))))
(+.f64 (+.f64 x 2) (*.f64 (neg.f64 (hypot.f64 1 (sqrt.f64 x))) 1))
(+.f64 (-.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x))) (fma.f64 (neg.f64 (hypot.f64 1 (sqrt.f64 x))) 1 (hypot.f64 1 (sqrt.f64 x))))
(+.f64 (-.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 x)))) (cbrt.f64 (+.f64 x 1)) (hypot.f64 1 (sqrt.f64 x))))
(+.f64 (-.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x))) (fma.f64 (neg.f64 (pow.f64 (+.f64 x 1) 1/4)) (pow.f64 (+.f64 x 1) 1/4) (hypot.f64 1 (sqrt.f64 x))))
(+.f64 (neg.f64 (hypot.f64 1 (sqrt.f64 x))) (+.f64 x 2))
(+.f64 (+.f64 x (-.f64 1 (hypot.f64 1 (sqrt.f64 x)))) 1)
(*.f64 1 (-.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (-.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x))) 1)
(*.f64 (cbrt.f64 (-.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x)))) 2) (cbrt.f64 (-.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x)))))
(*.f64 (sqrt.f64 (-.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x)))) (sqrt.f64 (-.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x)))))
(*.f64 (-.f64 (pow.f64 (+.f64 x 2) 3) (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 2) 2) (+.f64 (+.f64 x 1) (*.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x)))))))
(*.f64 (-.f64 (pow.f64 (+.f64 x 2) 2) (+.f64 x 1)) (/.f64 1 (+.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x)))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 2)) (pow.f64 (+.f64 x 1) 1/4)) (-.f64 (sqrt.f64 (+.f64 x 2)) (pow.f64 (+.f64 x 1) 1/4)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x 2) 2) (+.f64 (+.f64 x 1) (*.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x))))) (-.f64 (pow.f64 (+.f64 x 2) 3) (pow.f64 (+.f64 x 1) 3/2))))
(/.f64 1 (/.f64 (+.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x))) (-.f64 (pow.f64 (+.f64 x 2) 2) (+.f64 x 1))))
(/.f64 (-.f64 (pow.f64 (+.f64 x 2) 3) (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (pow.f64 (+.f64 x 2) 2) (+.f64 (+.f64 x 1) (*.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x))))))
(/.f64 (-.f64 (pow.f64 (+.f64 x 2) 2) (+.f64 x 1)) (+.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x 2) 3) (pow.f64 (+.f64 x 1) 3/2))) (neg.f64 (+.f64 (pow.f64 (+.f64 x 2) 2) (+.f64 (+.f64 x 1) (*.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x 2) 2) (+.f64 x 1))) (neg.f64 (+.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x (-.f64 1 (hypot.f64 1 (sqrt.f64 x)))) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 x (-.f64 1 (hypot.f64 1 (sqrt.f64 x)))) (+.f64 x (-.f64 1 (hypot.f64 1 (sqrt.f64 x))))) (+.f64 x (-.f64 1 (hypot.f64 1 (sqrt.f64 x)))))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 2) 3) (pow.f64 (neg.f64 (hypot.f64 1 (sqrt.f64 x))) 3)) (+.f64 (pow.f64 (+.f64 x 2) 2) (-.f64 (*.f64 (neg.f64 (hypot.f64 1 (sqrt.f64 x))) (neg.f64 (hypot.f64 1 (sqrt.f64 x)))) (*.f64 (+.f64 x 2) (neg.f64 (hypot.f64 1 (sqrt.f64 x)))))))
(/.f64 (-.f64 1 (*.f64 (+.f64 x (-.f64 1 (hypot.f64 1 (sqrt.f64 x)))) (+.f64 x (-.f64 1 (hypot.f64 1 (sqrt.f64 x)))))) (-.f64 1 (+.f64 x (-.f64 1 (hypot.f64 1 (sqrt.f64 x))))))
(/.f64 (-.f64 (pow.f64 (+.f64 x 2) 2) (*.f64 (neg.f64 (hypot.f64 1 (sqrt.f64 x))) (neg.f64 (hypot.f64 1 (sqrt.f64 x))))) (-.f64 (+.f64 x 2) (neg.f64 (hypot.f64 1 (sqrt.f64 x)))))
(pow.f64 (-.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x))) 1)
(pow.f64 (cbrt.f64 (-.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x)))) 3)
(pow.f64 (pow.f64 (-.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x)))) 2)
(sqrt.f64 (pow.f64 (-.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x))) 2))
(log.f64 (exp.f64 (-.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x))))))
(cbrt.f64 (pow.f64 (-.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x))) 3))
(expm1.f64 (log1p.f64 (-.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x)))))
(exp.f64 (log.f64 (-.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x)))) 1))
(log1p.f64 (expm1.f64 (-.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x)))))
(fma.f64 1 (+.f64 x 2) (neg.f64 (hypot.f64 1 (sqrt.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) (cbrt.f64 (+.f64 x 2)) (neg.f64 (hypot.f64 1 (sqrt.f64 x))))
(fma.f64 (sqrt.f64 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2)) (neg.f64 (hypot.f64 1 (sqrt.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (fma.f64 x 1/2 2)))) 1)
(*.f64 x (/.f64 1 (fma.f64 x 1/2 2)))
(*.f64 1 (/.f64 x (fma.f64 x 1/2 2)))
(*.f64 (/.f64 x (fma.f64 x 1/2 2)) 1)
(*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (/.f64 1 (fma.f64 x 1/2 2))))
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 2) (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (fma.f64 x 1/2 2))))
(*.f64 (sqrt.f64 (/.f64 x (fma.f64 x 1/2 2))) (sqrt.f64 (/.f64 x (fma.f64 x 1/2 2))))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (fma.f64 x 1/2 2))))
(*.f64 (/.f64 1 (fma.f64 x 1/2 2)) x)
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) 1) (/.f64 (cbrt.f64 x) (fma.f64 x 1/2 2)))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (fma.f64 x 1/2 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x 1/2 2))))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x 1/2 2))) (/.f64 x (sqrt.f64 (fma.f64 x 1/2 2))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2)) (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 (fma.f64 x 1/2 2))) (/.f64 (cbrt.f64 x) (sqrt.f64 (fma.f64 x 1/2 2))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 x 1/2 2))))
(*.f64 (/.f64 x (+.f64 8 (*.f64 1/8 (pow.f64 x 3)))) (+.f64 (*.f64 1/4 (*.f64 x x)) (-.f64 4 x)))
(*.f64 (/.f64 x (+.f64 (*.f64 1/4 (*.f64 x x)) -4)) (fma.f64 x 1/2 -2))
(pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 1)
(pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 3)
(pow.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 2)
(pow.f64 (/.f64 (fma.f64 x 1/2 2) x) -1)
(neg.f64 (/.f64 x (neg.f64 (fma.f64 x 1/2 2))))
(sqrt.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 2))
(log.f64 (exp.f64 (/.f64 x (fma.f64 x 1/2 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (fma.f64 x 1/2 2)))))
(cbrt.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x 1/2 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (fma.f64 x 1/2 2))))
(exp.f64 (log.f64 (/.f64 x (fma.f64 x 1/2 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (fma.f64 x 1/2 2))) 1))
(log1p.f64 (expm1.f64 (/.f64 x (fma.f64 x 1/2 2))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1))) 1)
(-.f64 (/.f64 (+.f64 x 1) (+.f64 (hypot.f64 1 (sqrt.f64 x)) 1)) (/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) 1)))
(*.f64 x (/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) 1)))
(*.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1))
(*.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1) 1)
(*.f64 (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)) (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)) 2) (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)))
(*.f64 (sqrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)) (sqrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)))
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) -1) (/.f64 1 (-.f64 (+.f64 x 2) (neg.f64 (hypot.f64 1 (sqrt.f64 x))))))
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/4) 1) (-.f64 (pow.f64 (+.f64 x 1) 1/4) 1))
(/.f64 x (+.f64 (hypot.f64 1 (sqrt.f64 x)) 1))
(/.f64 1 (/.f64 (-.f64 (+.f64 x 2) (neg.f64 (hypot.f64 1 (sqrt.f64 x)))) (+.f64 (pow.f64 (+.f64 x 1) 3/2) -1)))
(/.f64 1 (/.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) 1) x))
(/.f64 (neg.f64 x) (neg.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) 1)))
(/.f64 (neg.f64 x) (-.f64 -1 (hypot.f64 1 (sqrt.f64 x))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) -1) (-.f64 (+.f64 x 2) (neg.f64 (hypot.f64 1 (sqrt.f64 x)))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) -1) (+.f64 1 (-.f64 (+.f64 x 1) (neg.f64 (hypot.f64 1 (sqrt.f64 x))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) -1)) (neg.f64 (-.f64 (+.f64 x 2) (neg.f64 (hypot.f64 1 (sqrt.f64 x))))))
(pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1) 1)
(pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)) 3)
(pow.f64 (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)) 2)
(sqrt.f64 (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1) 2))
(log.f64 (exp.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1))))
(cbrt.f64 (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1) 3))
(expm1.f64 (log1p.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)))
(exp.f64 (log.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)) 1))
(log1p.f64 (expm1.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)))
(fma.f64 1 (hypot.f64 1 (sqrt.f64 x)) -1)
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (hypot.f64 1 (sqrt.f64 x))) -1)
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) -1)

simplify161.0ms (3.1%)

Algorithm
1×egg-herbie
Rules
680×associate-*r*
680×fma-def
656×fma-neg
644×associate-*l*
508×associate-/l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
067912454
1182811638
2736211634
Stop Event
1×node limit
Counts
268 → 411
Calls
Call 1
Inputs
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 -3/8 (pow.f64 x 2)))
(+.f64 (*.f64 3/16 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 -3/8 (pow.f64 x 2))))
(+.f64 (*.f64 3/16 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -3/8 (pow.f64 x 2)) (*.f64 -7/128 (pow.f64 x 4)))))
(/.f64 x (+.f64 (pow.f64 (/.f64 1 x) -3/2) 1))
(+.f64 (*.f64 -3/2 (*.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 (/.f64 1 x) -3/2) 1) 2)) (sqrt.f64 (pow.f64 x 3)))) (/.f64 x (+.f64 (pow.f64 (/.f64 1 x) -3/2) 1)))
(-.f64 (+.f64 (*.f64 -3/2 (*.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 (/.f64 1 x) -3/2) 1) 2)) (sqrt.f64 (pow.f64 x 3)))) (+.f64 (*.f64 9/4 (/.f64 (pow.f64 x 2) (pow.f64 (+.f64 (pow.f64 (/.f64 1 x) -3/2) 1) 3))) (/.f64 x (+.f64 (pow.f64 (/.f64 1 x) -3/2) 1)))) (*.f64 3/8 (*.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 (/.f64 1 x) -3/2) 1) 2)) (sqrt.f64 x))))
(-.f64 (+.f64 (*.f64 -3/2 (*.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 (/.f64 1 x) -3/2) 1) 2)) (sqrt.f64 (pow.f64 x 3)))) (+.f64 (*.f64 9/4 (/.f64 (pow.f64 x 2) (pow.f64 (+.f64 (pow.f64 (/.f64 1 x) -3/2) 1) 3))) (+.f64 (*.f64 9/16 (/.f64 x (pow.f64 (+.f64 (pow.f64 (/.f64 1 x) -3/2) 1) 3))) (/.f64 x (+.f64 (pow.f64 (/.f64 1 x) -3/2) 1))))) (+.f64 (*.f64 3/8 (*.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 (/.f64 1 x) -3/2) 1) 2)) (sqrt.f64 x))) (+.f64 (*.f64 -1/16 (*.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 (/.f64 1 x) -3/2) 1) 2)) (sqrt.f64 (/.f64 1 x)))) (*.f64 3/2 (*.f64 (/.f64 (-.f64 (*.f64 9/4 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 (pow.f64 (/.f64 1 x) -3/2) 1) 3))) (*.f64 3/8 (*.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 (/.f64 1 x) -3/2) 1) 2)) (sqrt.f64 (pow.f64 x 3))))) (+.f64 (pow.f64 (/.f64 1 x) -3/2) 1)) (sqrt.f64 (/.f64 1 x)))))))
(/.f64 x (+.f64 1 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))
(+.f64 (*.f64 -3/2 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 (+.f64 1 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) 2))) (/.f64 x (+.f64 1 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))))
(+.f64 (*.f64 -3/8 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 (pow.f64 (+.f64 1 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) 2) x))) (+.f64 (*.f64 9/4 (/.f64 (pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (*.f64 (pow.f64 (+.f64 1 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) 3) x))) (+.f64 (*.f64 -3/2 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 (+.f64 1 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) 2))) (/.f64 x (+.f64 1 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))))))
(+.f64 (*.f64 9/4 (/.f64 (pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (*.f64 (pow.f64 (+.f64 1 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) 3) x))) (+.f64 (*.f64 -3/8 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 (pow.f64 (+.f64 1 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) 2) x))) (+.f64 (*.f64 -3/2 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 (+.f64 1 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) 2))) (+.f64 (/.f64 x (+.f64 1 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -9/16 (/.f64 (pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (pow.f64 (+.f64 1 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) 3))) (+.f64 (*.f64 -1/16 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 (+.f64 1 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) 2))) (*.f64 3/2 (/.f64 (*.f64 (+.f64 (*.f64 -3/8 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 (+.f64 1 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) 2))) (*.f64 9/4 (/.f64 (pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (pow.f64 (+.f64 1 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) 3)))) (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (+.f64 1 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))))) (pow.f64 x 2)))))))
(*.f64 1/2 x)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3))))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -5/128 (pow.f64 x 4)) (*.f64 1/16 (pow.f64 x 3)))))
(/.f64 (pow.f64 x 2) (+.f64 (pow.f64 (/.f64 1 x) -3/2) 1))
(/.f64 (pow.f64 x 2) (+.f64 1 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))
1
(+.f64 1 (*.f64 3/2 x))
(+.f64 1 (+.f64 (*.f64 3/8 (pow.f64 x 2)) (*.f64 3/2 x)))
(+.f64 (*.f64 -1/16 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 3/8 (pow.f64 x 2)) (*.f64 3/2 x))))
(sqrt.f64 (pow.f64 x 3))
(+.f64 (sqrt.f64 (pow.f64 x 3)) (*.f64 3/2 (sqrt.f64 x)))
(+.f64 (*.f64 3/8 (sqrt.f64 (/.f64 1 x))) (+.f64 (sqrt.f64 (pow.f64 x 3)) (*.f64 3/2 (sqrt.f64 x))))
(+.f64 (*.f64 3/8 (sqrt.f64 (/.f64 1 x))) (+.f64 (sqrt.f64 (pow.f64 x 3)) (+.f64 (*.f64 3/2 (sqrt.f64 x)) (*.f64 -1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))))
(exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(+.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 3/2 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)))
(+.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (*.f64 3/8 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2))) (*.f64 3/2 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x))))
(+.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (*.f64 -1/16 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 3))) (+.f64 (*.f64 3/8 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2))) (*.f64 3/2 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)))))
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) 1))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/16 (pow.f64 x 3)) 1)))
x
x
(*.f64 1/2 x)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/32 (pow.f64 x 3)) (*.f64 1/2 x)))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/32 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 -1/128 (pow.f64 x 4)))))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (*.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3)))))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (*.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3)))))
(*.f64 1/2 x)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3))))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -5/128 (pow.f64 x 4)) (*.f64 1/16 (pow.f64 x 3)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))) 1)
(*.f64 x (/.f64 1 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))
(*.f64 1 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) 1)
(*.f64 (cbrt.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) 2) (cbrt.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))))
(*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))))
(*.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 x 1) 3/4))) (/.f64 (sqrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 x 1) 3/4))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))))
(*.f64 (neg.f64 x) (/.f64 1 (+.f64 -1 (neg.f64 (pow.f64 (+.f64 x 1) 3/2)))))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) x)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) 2)) (/.f64 x (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))))
(*.f64 (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 x 1) 3/4))) (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 x 1) 3/4))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) 1) (/.f64 (cbrt.f64 x) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) 2)) (cbrt.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (hypot.f64 1 (pow.f64 (+.f64 x 1) 3/4))) (/.f64 (cbrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 x 1) 3/4))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 9/2))) (+.f64 1 (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (+.f64 x 1) 3/2))))
(*.f64 (/.f64 x (-.f64 1 (pow.f64 (+.f64 x 1) 3))) (-.f64 1 (pow.f64 (+.f64 x 1) 3/2)))
(pow.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) 1)
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) 3)
(pow.f64 (pow.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 x 1) 3/4))) 2)
(pow.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) x) -1)
(neg.f64 (/.f64 x (+.f64 -1 (neg.f64 (pow.f64 (+.f64 x 1) 3/2)))))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) 2))
(log.f64 (exp.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))))
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))))
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 (pow.f64 (+.f64 x 1) 3/2))))
(exp.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 (pow.f64 (+.f64 x 1) 3/2))) 1))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))))
(+.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 x (-.f64 1 (hypot.f64 1 (sqrt.f64 x))))))
(+.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (*.f64 (+.f64 x (-.f64 1 (hypot.f64 1 (sqrt.f64 x)))) (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))))
(+.f64 (*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 x 2)) (*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (neg.f64 (hypot.f64 1 (sqrt.f64 x)))))
(+.f64 (*.f64 (+.f64 x 2) (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) (*.f64 (neg.f64 (hypot.f64 1 (sqrt.f64 x))) (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (-.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x)))))) 1)
(/.f64 x (/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (-.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x)))))
(/.f64 1 (/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (*.f64 x (-.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x))))))
(/.f64 (-.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x))) (/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) x))
(/.f64 (-.f64 (pow.f64 (+.f64 x 2) 3) (pow.f64 (+.f64 x 1) 3/2)) (*.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) x) (+.f64 (pow.f64 (+.f64 x 2) 2) (+.f64 (+.f64 x 1) (*.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 x 2) 2) (+.f64 x 1)) (*.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) x) (+.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x)))))
(/.f64 (*.f64 x (-.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x)))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))
(/.f64 (*.f64 x (-.f64 (pow.f64 (+.f64 x 2) 3) (pow.f64 (+.f64 x 1) 3/2))) (*.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (pow.f64 (+.f64 x 2) 2) (+.f64 (+.f64 x 1) (*.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x)))))))
(/.f64 (*.f64 x (-.f64 (pow.f64 (+.f64 x 2) 2) (+.f64 x 1))) (*.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x)))))
(/.f64 (*.f64 (neg.f64 x) (-.f64 (pow.f64 (+.f64 x 2) 3) (pow.f64 (+.f64 x 1) 3/2))) (*.f64 (+.f64 -1 (neg.f64 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 (pow.f64 (+.f64 x 2) 2) (+.f64 (+.f64 x 1) (*.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x)))))))
(/.f64 (*.f64 (neg.f64 x) (-.f64 (pow.f64 (+.f64 x 2) 2) (+.f64 x 1))) (*.f64 (+.f64 -1 (neg.f64 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x 2) 3) (pow.f64 (+.f64 x 1) 3/2)) x) (*.f64 (+.f64 (pow.f64 (+.f64 x 2) 2) (+.f64 (+.f64 x 1) (*.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x))))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x 2) 3) (pow.f64 (+.f64 x 1) 3/2)) 1) (*.f64 (+.f64 (pow.f64 (+.f64 x 2) 2) (+.f64 (+.f64 x 1) (*.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x))))) (/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) x)))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x 2) 3) (pow.f64 (+.f64 x 1) 3/2)) (neg.f64 x)) (*.f64 (+.f64 (pow.f64 (+.f64 x 2) 2) (+.f64 (+.f64 x 1) (*.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x))))) (+.f64 -1 (neg.f64 (pow.f64 (+.f64 x 1) 3/2)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x 2) 2) (+.f64 x 1)) x) (*.f64 (+.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x 2) 2) (+.f64 x 1)) 1) (*.f64 (+.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x))) (/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) x)))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x 2) 2) (+.f64 x 1)) (neg.f64 x)) (*.f64 (+.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x))) (+.f64 -1 (neg.f64 (pow.f64 (+.f64 x 1) 3/2)))))
(/.f64 (neg.f64 (*.f64 x (-.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x))))) (+.f64 -1 (neg.f64 (pow.f64 (+.f64 x 1) 3/2))))
(/.f64 (*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (-.f64 (pow.f64 (+.f64 x 2) 3) (pow.f64 (+.f64 x 1) 3/2))) (+.f64 (pow.f64 (+.f64 x 2) 2) (+.f64 (+.f64 x 1) (*.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x))))))
(/.f64 (*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (-.f64 (pow.f64 (+.f64 x 2) 2) (+.f64 x 1))) (+.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x))))
(/.f64 (*.f64 (-.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x))) (neg.f64 x)) (+.f64 -1 (neg.f64 (pow.f64 (+.f64 x 1) 3/2))))
(/.f64 (*.f64 (neg.f64 x) (-.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x)))) (+.f64 -1 (neg.f64 (pow.f64 (+.f64 x 1) 3/2))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x 2) 3) (pow.f64 (+.f64 x 1) 3/2)) (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) (+.f64 (pow.f64 (+.f64 x 2) 2) (+.f64 (+.f64 x 1) (*.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x 2) 2) (+.f64 x 1)) (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) (+.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x))))
(/.f64 (/.f64 (*.f64 x (-.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x)))) 1) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))
(/.f64 (/.f64 (*.f64 x (-.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x)))) (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) 2)) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))
(/.f64 (/.f64 (*.f64 x (-.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x)))) (hypot.f64 1 (pow.f64 (+.f64 x 1) 3/4))) (hypot.f64 1 (pow.f64 (+.f64 x 1) 3/4)))
(pow.f64 (*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (-.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x)))) 1)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (-.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x))))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (-.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x)))) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 (*.f64 x (-.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x))))) (hypot.f64 1 (pow.f64 (+.f64 x 1) 3/4))) 2)
(sqrt.f64 (pow.f64 (*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (-.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x)))) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) (-.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (-.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x)))))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (-.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x)))) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) 3) (pow.f64 (-.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x))) 3) (pow.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (-.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x))))))
(exp.f64 (-.f64 (log.f64 (*.f64 x (-.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x))))) (log1p.f64 (pow.f64 (+.f64 x 1) 3/2))))
(exp.f64 (*.f64 (-.f64 (log.f64 (*.f64 x (-.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x))))) (log1p.f64 (pow.f64 (+.f64 x 1) 3/2))) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (-.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x))))))
(-.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) 1)
(*.f64 1 (pow.f64 (+.f64 x 1) 3/2))
(*.f64 (+.f64 x 1) (hypot.f64 1 (sqrt.f64 x)))
(*.f64 (pow.f64 (+.f64 x 1) 3/2) 1)
(*.f64 (hypot.f64 1 (sqrt.f64 x)) (+.f64 x 1))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 (+.f64 x 1)) (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (pow.f64 (+.f64 x 1) 3/4) (pow.f64 (+.f64 x 1) 3/4))
(*.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/4) 3) (pow.f64 (pow.f64 (+.f64 x 1) 1/4) 3))
(*.f64 (pow.f64 1 3/2) (pow.f64 (+.f64 x 1) 3/2))
(*.f64 (pow.f64 (hypot.f64 1 (sqrt.f64 x)) 3/2) (pow.f64 (hypot.f64 1 (sqrt.f64 x)) 3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 3/2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 3/2))
(*.f64 (*.f64 (+.f64 x 1) (cbrt.f64 (+.f64 x 1))) (cbrt.f64 (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (*.f64 (+.f64 x 1) (pow.f64 (+.f64 x 1) 1/4)) (pow.f64 (+.f64 x 1) 1/4))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (hypot.f64 1 (sqrt.f64 x))) (fma.f64 x x (-.f64 1 x)))
(/.f64 (*.f64 (fma.f64 x x -1) (hypot.f64 1 (sqrt.f64 x))) (+.f64 x -1))
(sqrt.f64 (pow.f64 (+.f64 x 1) 3))
(log.f64 (exp.f64 (pow.f64 (+.f64 x 1) 3/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 x 1) 3/2))))
(cbrt.f64 (pow.f64 (+.f64 x 1) 9/2))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 x 1) 3/2)))
(exp.f64 (*.f64 3/2 (log1p.f64 x)))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 3))
(exp.f64 (*.f64 (*.f64 3/2 (log1p.f64 x)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 x 1) 3/2)))
(+.f64 1 (+.f64 x (-.f64 1 (hypot.f64 1 (sqrt.f64 x)))))
(+.f64 1 (*.f64 (+.f64 x (-.f64 1 (hypot.f64 1 (sqrt.f64 x)))) 1))
(+.f64 (+.f64 x 1) (+.f64 1 (neg.f64 (hypot.f64 1 (sqrt.f64 x)))))
(+.f64 (+.f64 x 1) (-.f64 1 (hypot.f64 1 (sqrt.f64 x))))
(+.f64 (+.f64 x 2) (neg.f64 (hypot.f64 1 (sqrt.f64 x))))
(+.f64 (+.f64 x 2) (*.f64 (neg.f64 (hypot.f64 1 (sqrt.f64 x))) 1))
(+.f64 (-.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x))) (fma.f64 (neg.f64 (hypot.f64 1 (sqrt.f64 x))) 1 (hypot.f64 1 (sqrt.f64 x))))
(+.f64 (-.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 x)))) (cbrt.f64 (+.f64 x 1)) (hypot.f64 1 (sqrt.f64 x))))
(+.f64 (-.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x))) (fma.f64 (neg.f64 (pow.f64 (+.f64 x 1) 1/4)) (pow.f64 (+.f64 x 1) 1/4) (hypot.f64 1 (sqrt.f64 x))))
(+.f64 (neg.f64 (hypot.f64 1 (sqrt.f64 x))) (+.f64 x 2))
(+.f64 (+.f64 x (-.f64 1 (hypot.f64 1 (sqrt.f64 x)))) 1)
(*.f64 1 (-.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (-.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x))) 1)
(*.f64 (cbrt.f64 (-.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x)))) 2) (cbrt.f64 (-.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x)))))
(*.f64 (sqrt.f64 (-.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x)))) (sqrt.f64 (-.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x)))))
(*.f64 (-.f64 (pow.f64 (+.f64 x 2) 3) (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 2) 2) (+.f64 (+.f64 x 1) (*.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x)))))))
(*.f64 (-.f64 (pow.f64 (+.f64 x 2) 2) (+.f64 x 1)) (/.f64 1 (+.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x)))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 2)) (pow.f64 (+.f64 x 1) 1/4)) (-.f64 (sqrt.f64 (+.f64 x 2)) (pow.f64 (+.f64 x 1) 1/4)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x 2) 2) (+.f64 (+.f64 x 1) (*.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x))))) (-.f64 (pow.f64 (+.f64 x 2) 3) (pow.f64 (+.f64 x 1) 3/2))))
(/.f64 1 (/.f64 (+.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x))) (-.f64 (pow.f64 (+.f64 x 2) 2) (+.f64 x 1))))
(/.f64 (-.f64 (pow.f64 (+.f64 x 2) 3) (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (pow.f64 (+.f64 x 2) 2) (+.f64 (+.f64 x 1) (*.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x))))))
(/.f64 (-.f64 (pow.f64 (+.f64 x 2) 2) (+.f64 x 1)) (+.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x 2) 3) (pow.f64 (+.f64 x 1) 3/2))) (neg.f64 (+.f64 (pow.f64 (+.f64 x 2) 2) (+.f64 (+.f64 x 1) (*.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x 2) 2) (+.f64 x 1))) (neg.f64 (+.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x (-.f64 1 (hypot.f64 1 (sqrt.f64 x)))) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 x (-.f64 1 (hypot.f64 1 (sqrt.f64 x)))) (+.f64 x (-.f64 1 (hypot.f64 1 (sqrt.f64 x))))) (+.f64 x (-.f64 1 (hypot.f64 1 (sqrt.f64 x)))))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 2) 3) (pow.f64 (neg.f64 (hypot.f64 1 (sqrt.f64 x))) 3)) (+.f64 (pow.f64 (+.f64 x 2) 2) (-.f64 (*.f64 (neg.f64 (hypot.f64 1 (sqrt.f64 x))) (neg.f64 (hypot.f64 1 (sqrt.f64 x)))) (*.f64 (+.f64 x 2) (neg.f64 (hypot.f64 1 (sqrt.f64 x)))))))
(/.f64 (-.f64 1 (*.f64 (+.f64 x (-.f64 1 (hypot.f64 1 (sqrt.f64 x)))) (+.f64 x (-.f64 1 (hypot.f64 1 (sqrt.f64 x)))))) (-.f64 1 (+.f64 x (-.f64 1 (hypot.f64 1 (sqrt.f64 x))))))
(/.f64 (-.f64 (pow.f64 (+.f64 x 2) 2) (*.f64 (neg.f64 (hypot.f64 1 (sqrt.f64 x))) (neg.f64 (hypot.f64 1 (sqrt.f64 x))))) (-.f64 (+.f64 x 2) (neg.f64 (hypot.f64 1 (sqrt.f64 x)))))
(pow.f64 (-.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x))) 1)
(pow.f64 (cbrt.f64 (-.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x)))) 3)
(pow.f64 (pow.f64 (-.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x)))) 2)
(sqrt.f64 (pow.f64 (-.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x))) 2))
(log.f64 (exp.f64 (-.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x))))))
(cbrt.f64 (pow.f64 (-.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x))) 3))
(expm1.f64 (log1p.f64 (-.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x)))))
(exp.f64 (log.f64 (-.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x)))) 1))
(log1p.f64 (expm1.f64 (-.f64 (+.f64 x 2) (hypot.f64 1 (sqrt.f64 x)))))
(fma.f64 1 (+.f64 x 2) (neg.f64 (hypot.f64 1 (sqrt.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) (cbrt.f64 (+.f64 x 2)) (neg.f64 (hypot.f64 1 (sqrt.f64 x))))
(fma.f64 (sqrt.f64 (+.f64 x 2)) (sqrt.f64 (+.f64 x 2)) (neg.f64 (hypot.f64 1 (sqrt.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (fma.f64 x 1/2 2)))) 1)
(*.f64 x (/.f64 1 (fma.f64 x 1/2 2)))
(*.f64 1 (/.f64 x (fma.f64 x 1/2 2)))
(*.f64 (/.f64 x (fma.f64 x 1/2 2)) 1)
(*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (/.f64 1 (fma.f64 x 1/2 2))))
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 2) (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (fma.f64 x 1/2 2))))
(*.f64 (sqrt.f64 (/.f64 x (fma.f64 x 1/2 2))) (sqrt.f64 (/.f64 x (fma.f64 x 1/2 2))))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (fma.f64 x 1/2 2))))
(*.f64 (/.f64 1 (fma.f64 x 1/2 2)) x)
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) 1) (/.f64 (cbrt.f64 x) (fma.f64 x 1/2 2)))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (fma.f64 x 1/2 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x 1/2 2))))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x 1/2 2))) (/.f64 x (sqrt.f64 (fma.f64 x 1/2 2))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2)) (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 (fma.f64 x 1/2 2))) (/.f64 (cbrt.f64 x) (sqrt.f64 (fma.f64 x 1/2 2))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 x 1/2 2))))
(*.f64 (/.f64 x (+.f64 8 (*.f64 1/8 (pow.f64 x 3)))) (+.f64 (*.f64 1/4 (*.f64 x x)) (-.f64 4 x)))
(*.f64 (/.f64 x (+.f64 (*.f64 1/4 (*.f64 x x)) -4)) (fma.f64 x 1/2 -2))
(pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 1)
(pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 3)
(pow.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 2)
(pow.f64 (/.f64 (fma.f64 x 1/2 2) x) -1)
(neg.f64 (/.f64 x (neg.f64 (fma.f64 x 1/2 2))))
(sqrt.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 2))
(log.f64 (exp.f64 (/.f64 x (fma.f64 x 1/2 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (fma.f64 x 1/2 2)))))
(cbrt.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x 1/2 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (fma.f64 x 1/2 2))))
(exp.f64 (log.f64 (/.f64 x (fma.f64 x 1/2 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (fma.f64 x 1/2 2))) 1))
(log1p.f64 (expm1.f64 (/.f64 x (fma.f64 x 1/2 2))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1))) 1)
(-.f64 (/.f64 (+.f64 x 1) (+.f64 (hypot.f64 1 (sqrt.f64 x)) 1)) (/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) 1)))
(*.f64 x (/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) 1)))
(*.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1))
(*.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1) 1)
(*.f64 (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)) (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)) 2) (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)))
(*.f64 (sqrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)) (sqrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)))
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) -1) (/.f64 1 (-.f64 (+.f64 x 2) (neg.f64 (hypot.f64 1 (sqrt.f64 x))))))
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/4) 1) (-.f64 (pow.f64 (+.f64 x 1) 1/4) 1))
(/.f64 x (+.f64 (hypot.f64 1 (sqrt.f64 x)) 1))
(/.f64 1 (/.f64 (-.f64 (+.f64 x 2) (neg.f64 (hypot.f64 1 (sqrt.f64 x)))) (+.f64 (pow.f64 (+.f64 x 1) 3/2) -1)))
(/.f64 1 (/.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) 1) x))
(/.f64 (neg.f64 x) (neg.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) 1)))
(/.f64 (neg.f64 x) (-.f64 -1 (hypot.f64 1 (sqrt.f64 x))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) -1) (-.f64 (+.f64 x 2) (neg.f64 (hypot.f64 1 (sqrt.f64 x)))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) -1) (+.f64 1 (-.f64 (+.f64 x 1) (neg.f64 (hypot.f64 1 (sqrt.f64 x))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) -1)) (neg.f64 (-.f64 (+.f64 x 2) (neg.f64 (hypot.f64 1 (sqrt.f64 x))))))
(pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1) 1)
(pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)) 3)
(pow.f64 (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)) 2)
(sqrt.f64 (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1) 2))
(log.f64 (exp.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1))))
(cbrt.f64 (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1) 3))
(expm1.f64 (log1p.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)))
(exp.f64 (log.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)) 1))
(log1p.f64 (expm1.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)))
(fma.f64 1 (hypot.f64 1 (sqrt.f64 x)) -1)
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (hypot.f64 1 (sqrt.f64 x))) -1)
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) -1)
Outputs
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 -3/8 (pow.f64 x 2)))
(fma.f64 1/2 x (*.f64 -3/8 (*.f64 x x)))
(fma.f64 1/2 x (*.f64 (*.f64 -3/8 x) x))
(+.f64 (*.f64 3/16 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 -3/8 (pow.f64 x 2))))
(fma.f64 3/16 (pow.f64 x 3) (fma.f64 1/2 x (*.f64 -3/8 (*.f64 x x))))
(fma.f64 3/16 (pow.f64 x 3) (fma.f64 1/2 x (*.f64 (*.f64 -3/8 x) x)))
(+.f64 (*.f64 3/16 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -3/8 (pow.f64 x 2)) (*.f64 -7/128 (pow.f64 x 4)))))
(fma.f64 3/16 (pow.f64 x 3) (fma.f64 1/2 x (fma.f64 -3/8 (*.f64 x x) (*.f64 -7/128 (pow.f64 x 4)))))
(fma.f64 3/16 (pow.f64 x 3) (fma.f64 1/2 x (fma.f64 -7/128 (pow.f64 x 4) (*.f64 (*.f64 -3/8 x) x))))
(/.f64 x (+.f64 (pow.f64 (/.f64 1 x) -3/2) 1))
(/.f64 x (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)))
(+.f64 (*.f64 -3/2 (*.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 (/.f64 1 x) -3/2) 1) 2)) (sqrt.f64 (pow.f64 x 3)))) (/.f64 x (+.f64 (pow.f64 (/.f64 1 x) -3/2) 1)))
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(/.f64 x (+.f64 1 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))
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(*.f64 1/2 x)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(fma.f64 -1/8 (*.f64 x x) (*.f64 1/2 x))
(fma.f64 1/2 x (*.f64 x (*.f64 x -1/8)))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3))))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (*.f64 (pow.f64 x 3) 1/16)))
(fma.f64 (*.f64 x x) -1/8 (fma.f64 (pow.f64 x 3) 1/16 (*.f64 1/2 x)))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -5/128 (pow.f64 x 4)) (*.f64 1/16 (pow.f64 x 3)))))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 -5/128 (pow.f64 x 4) (*.f64 (pow.f64 x 3) 1/16))))
(fma.f64 (*.f64 x x) -1/8 (fma.f64 1/2 x (fma.f64 (pow.f64 x 3) 1/16 (*.f64 (pow.f64 x 4) -5/128))))
(/.f64 (pow.f64 x 2) (+.f64 (pow.f64 (/.f64 1 x) -3/2) 1))
(/.f64 (*.f64 x x) (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)))
(/.f64 x (/.f64 (+.f64 1 (pow.f64 (/.f64 1 x) -3/2)) x))
(/.f64 (pow.f64 x 2) (+.f64 1 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))
(/.f64 (*.f64 x x) (+.f64 1 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))))
(/.f64 (*.f64 x x) (+.f64 1 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))
1
(+.f64 1 (*.f64 3/2 x))
(+.f64 1 (*.f64 x 3/2))
(fma.f64 x 3/2 1)
(+.f64 1 (+.f64 (*.f64 3/8 (pow.f64 x 2)) (*.f64 3/2 x)))
(+.f64 1 (fma.f64 3/8 (*.f64 x x) (*.f64 x 3/2)))
(+.f64 (fma.f64 x 3/2 1) (*.f64 x (*.f64 x 3/8)))
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(fma.f64 (pow.f64 x 3) -1/16 (+.f64 (fma.f64 x 3/2 1) (*.f64 x (*.f64 x 3/8))))
(sqrt.f64 (pow.f64 x 3))
(fabs.f64 (pow.f64 x 3/2))
(+.f64 (sqrt.f64 (pow.f64 x 3)) (*.f64 3/2 (sqrt.f64 x)))
(+.f64 (sqrt.f64 (pow.f64 x 3)) (*.f64 (sqrt.f64 x) 3/2))
(fma.f64 (sqrt.f64 x) 3/2 (fabs.f64 (pow.f64 x 3/2)))
(+.f64 (*.f64 3/8 (sqrt.f64 (/.f64 1 x))) (+.f64 (sqrt.f64 (pow.f64 x 3)) (*.f64 3/2 (sqrt.f64 x))))
(fma.f64 3/8 (sqrt.f64 (/.f64 1 x)) (+.f64 (sqrt.f64 (pow.f64 x 3)) (*.f64 (sqrt.f64 x) 3/2)))
(fma.f64 3/8 (sqrt.f64 (/.f64 1 x)) (fma.f64 (sqrt.f64 x) 3/2 (fabs.f64 (pow.f64 x 3/2))))
(+.f64 (*.f64 3/8 (sqrt.f64 (/.f64 1 x))) (+.f64 (sqrt.f64 (pow.f64 x 3)) (+.f64 (*.f64 3/2 (sqrt.f64 x)) (*.f64 -1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))))
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(exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
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1
(+.f64 (*.f64 1/2 x) 1)
(fma.f64 1/2 x 1)
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) 1))
(fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x 1))
(fma.f64 (*.f64 x x) 1/8 (fma.f64 1/2 x 1))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/16 (pow.f64 x 3)) 1)))
(fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 -1/16 (pow.f64 x 3) 1)))
(fma.f64 (*.f64 x x) 1/8 (fma.f64 1/2 x (fma.f64 (pow.f64 x 3) -1/16 1)))
x
x
(*.f64 1/2 x)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(fma.f64 -1/8 (*.f64 x x) (*.f64 1/2 x))
(fma.f64 1/2 x (*.f64 x (*.f64 x -1/8)))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/32 (pow.f64 x 3)) (*.f64 1/2 x)))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/32 (pow.f64 x 3) (*.f64 1/2 x)))
(fma.f64 (*.f64 x x) -1/8 (fma.f64 1/2 x (*.f64 (pow.f64 x 3) 1/32)))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/32 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 -1/128 (pow.f64 x 4)))))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/32 (pow.f64 x 3) (fma.f64 1/2 x (*.f64 (pow.f64 x 4) -1/128))))
(fma.f64 (*.f64 x x) -1/8 (fma.f64 (pow.f64 x 3) 1/32 (fma.f64 1/2 x (*.f64 (pow.f64 x 4) -1/128))))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 2 (/.f64 8 x))
(+.f64 2 (/.f64 -8 x))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (*.f64 8 (/.f64 1 x)))
(+.f64 2 (-.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x)))
(+.f64 2 (+.f64 (/.f64 32 (*.f64 x x)) (/.f64 -8 x)))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3)))))
(+.f64 2 (-.f64 (/.f64 32 (*.f64 x x)) (+.f64 (/.f64 8 x) (/.f64 128 (pow.f64 x 3)))))
(+.f64 2 (-.f64 (+.f64 (/.f64 32 (*.f64 x x)) (/.f64 -8 x)) (/.f64 128 (pow.f64 x 3))))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 2 (/.f64 8 x))
(+.f64 2 (/.f64 -8 x))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (*.f64 8 (/.f64 1 x)))
(+.f64 2 (-.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x)))
(+.f64 2 (+.f64 (/.f64 32 (*.f64 x x)) (/.f64 -8 x)))
(-.f64 (+.f64 2 (*.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3)))))
(+.f64 2 (-.f64 (/.f64 32 (*.f64 x x)) (+.f64 (/.f64 8 x) (/.f64 128 (pow.f64 x 3)))))
(+.f64 2 (-.f64 (+.f64 (/.f64 32 (*.f64 x x)) (/.f64 -8 x)) (/.f64 128 (pow.f64 x 3))))
(*.f64 1/2 x)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(fma.f64 -1/8 (*.f64 x x) (*.f64 1/2 x))
(fma.f64 1/2 x (*.f64 x (*.f64 x -1/8)))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3))))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (*.f64 (pow.f64 x 3) 1/16)))
(fma.f64 (*.f64 x x) -1/8 (fma.f64 (pow.f64 x 3) 1/16 (*.f64 1/2 x)))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -5/128 (pow.f64 x 4)) (*.f64 1/16 (pow.f64 x 3)))))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 -5/128 (pow.f64 x 4) (*.f64 (pow.f64 x 3) 1/16))))
(fma.f64 (*.f64 x x) -1/8 (fma.f64 1/2 x (fma.f64 (pow.f64 x 3) 1/16 (*.f64 (pow.f64 x 4) -5/128))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))) 1)
(/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))
(*.f64 x (/.f64 1 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))
(/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))
(*.f64 1 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))
(/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) 1)
(/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))
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(/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))
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(/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))
(*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))))
(*.f64 (cbrt.f64 (*.f64 x x)) (/.f64 (*.f64 (cbrt.f64 x) 1) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))
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(*.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 x 1) 3/4))) (/.f64 (sqrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 x 1) 3/4))))
(pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 x 1) 3/4))) 2)
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))))
(/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))
(*.f64 (neg.f64 x) (/.f64 1 (+.f64 -1 (neg.f64 (pow.f64 (+.f64 x 1) 3/2)))))
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(/.f64 (neg.f64 x) (-.f64 -1 (pow.f64 (+.f64 x 1) 3/2)))
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(/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))
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(pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 x 1) 3/4))) 2)
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(*.f64 (cbrt.f64 (*.f64 x x)) (/.f64 (*.f64 (cbrt.f64 x) 1) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))
(/.f64 (cbrt.f64 (*.f64 x x)) (/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (cbrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) 2)) (cbrt.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) (/.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) 2)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (hypot.f64 1 (pow.f64 (+.f64 x 1) 3/4))) (/.f64 (cbrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 x 1) 3/4))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))
(/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) 2)) (/.f64 x (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))))
(/.f64 (/.f64 x (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) 2))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 9/2))) (+.f64 1 (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (+.f64 x 1) 3/2))))
(*.f64 (/.f64 x (-.f64 1 (pow.f64 (+.f64 x 1) 3))) (-.f64 1 (pow.f64 (+.f64 x 1) 3/2)))
(pow.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) 1)
(/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))) 3)
(/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))
(pow.f64 (pow.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) 3) 1/3)
(/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))
(pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 x 1) 3/4))) 2)
(pow.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) x) -1)
(/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))
(neg.f64 (/.f64 x (+.f64 -1 (neg.f64 (pow.f64 (+.f64 x 1) 3/2)))))
(*.f64 (neg.f64 x) (/.f64 1 (-.f64 -1 (pow.f64 (+.f64 x 1) 3/2))))
(/.f64 (neg.f64 x) (-.f64 -1 (pow.f64 (+.f64 x 1) 3/2)))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) 2))
(fabs.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))
(log.f64 (exp.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))))
(/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))))
(/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) 3))
(/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) 3)))
(/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))))
(/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 (pow.f64 (+.f64 x 1) 3/2))))
(/.f64 x (exp.f64 (log1p.f64 (pow.f64 (+.f64 x 1) 3/2))))
(exp.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 (pow.f64 (+.f64 x 1) 3/2))) 1))
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 (pow.f64 (+.f64 x 1) 3/2))))
(/.f64 x (exp.f64 (log1p.f64 (pow.f64 (+.f64 x 1) 3/2))))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))))
(/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))
(+.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 x (-.f64 1 (hypot.f64 1 (sqrt.f64 x))))))
(*.f64 (+.f64 x (+.f64 (-.f64 1 (hypot.f64 1 (sqrt.f64 x))) 1)) (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))
(*.f64 x (/.f64 (+.f64 x (-.f64 2 (hypot.f64 1 (sqrt.f64 x)))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))
(+.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (*.f64 (+.f64 x (-.f64 1 (hypot.f64 1 (sqrt.f64 x)))) (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)))))
(*.f64 (+.f64 x (+.f64 (-.f64 1 (hypot.f64 1 (sqrt.f64 x))) 1)) (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))
(*.f64 x (/.f64 (+.f64 x (-.f64 2 (hypot.f64 1 (sqrt.f64 x)))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))
(+.f64 (*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (+.f64 x 2)) (*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (neg.f64 (hypot.f64 1 (sqrt.f64 x)))))
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(log.f64 (exp.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)))
(+.f64 -1 (hypot.f64 1 (sqrt.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1))))
(+.f64 -1 (hypot.f64 1 (sqrt.f64 x)))
(cbrt.f64 (pow.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1) 3))
(+.f64 -1 (hypot.f64 1 (sqrt.f64 x)))
(expm1.f64 (log1p.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)))
(+.f64 -1 (hypot.f64 1 (sqrt.f64 x)))
(exp.f64 (log.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)))
(+.f64 -1 (hypot.f64 1 (sqrt.f64 x)))
(exp.f64 (*.f64 (log.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)) 1))
(+.f64 -1 (hypot.f64 1 (sqrt.f64 x)))
(log1p.f64 (expm1.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) -1)))
(+.f64 -1 (hypot.f64 1 (sqrt.f64 x)))
(fma.f64 1 (hypot.f64 1 (sqrt.f64 x)) -1)
(+.f64 -1 (hypot.f64 1 (sqrt.f64 x)))
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (hypot.f64 1 (sqrt.f64 x))) -1)
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) -1)
(*.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (+.f64 (pow.f64 (+.f64 x 1) 1/4) -1))
(+.f64 -1 (pow.f64 (+.f64 x 1) 1/2))

eval281.0ms (5.4%)

Compiler

Compiled 13376 to 10596 computations (20.8% saved)

prune85.0ms (1.6%)

Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New5361537
Fresh000
Picked055
Done011
Total5367543
Accurracy
100.0%
Counts
543 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓68.4%
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
✓99.8%
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
✓67.7%
(/.f64 x 2)
✓38.8%
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
✓88.0%
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))))
✓66.3%
(*.f64 x (+.f64 1/2 (*.f64 -1/8 x)))
5.1%
2
✓68.4%
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
✓99.8%
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
✓67.7%
(/.f64 x 2)
✓38.8%
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
✓88.0%
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))))
✓66.3%
(*.f64 x (+.f64 1/2 (*.f64 -1/8 x)))
5.1%
2
Compiler

Compiled 118 to 94 computations (20.3% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune5.0ms (0.1%)

Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done066
Total077
Accurracy
100.0%
Counts
7 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓68.4%
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
✓99.8%
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
✓67.7%
(/.f64 x 2)
✓38.8%
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
✓88.0%
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))))
✓66.3%
(*.f64 x (+.f64 1/2 (*.f64 -1/8 x)))
5.1%
2
✓68.4%
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
✓99.8%
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
✓67.7%
(/.f64 x 2)
✓38.8%
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
✓88.0%
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))))
✓66.3%
(*.f64 x (+.f64 1/2 (*.f64 -1/8 x)))
5.1%
2
Compiler

Compiled 118 to 94 computations (20.3% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune5.0ms (0.1%)

Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done066
Total077
Accurracy
100.0%
Counts
7 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓68.4%
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
✓99.8%
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
✓67.7%
(/.f64 x 2)
✓38.8%
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
✓88.0%
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))))
✓66.3%
(*.f64 x (+.f64 1/2 (*.f64 -1/8 x)))
5.1%
2
Compiler

Compiled 112 to 88 computations (21.4% saved)

regimes20.0ms (0.4%)

Counts
7 → 1
Calls
Call 1
Inputs
2
(/.f64 x 2)
(*.f64 x (+.f64 1/2 (*.f64 -1/8 x)))
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))))
Outputs
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
Calls

2 calls:

14.0ms
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
5.0ms
x
Results
AccuracySegmentsBranch
99.8%1x
99.8%1(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
Compiler

Compiled 64 to 49 computations (23.4% saved)

regimes24.0ms (0.5%)

Counts
5 → 2
Calls
Call 1
Inputs
2
(/.f64 x 2)
(*.f64 x (+.f64 1/2 (*.f64 -1/8 x)))
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
Outputs
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
Calls

1 calls:

23.0ms
x
Results
AccuracySegmentsBranch
99.9%2x
Compiler

Compiled 27 to 20 computations (25.9% saved)

regimes5.0ms (0.1%)

Counts
4 → 1
Calls
Call 1
Inputs
2
(/.f64 x 2)
(*.f64 x (+.f64 1/2 (*.f64 -1/8 x)))
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
Outputs
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
68.4%1x
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes4.0ms (0.1%)

Counts
3 → 1
Calls
Call 1
Inputs
2
(/.f64 x 2)
(*.f64 x (+.f64 1/2 (*.f64 -1/8 x)))
Outputs
(/.f64 x 2)
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
67.7%1x
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes3.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
2
Outputs
2
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
5.1%1x
Compiler

Compiled 4 to 3 computations (25% saved)

bsearch27.0ms (0.5%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
27.0ms
1.7491238263539807e-6
0.21875466091828527
Results
25.0ms144×body256valid
Compiler

Compiled 166 to 136 computations (18.1% saved)

simplify6.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
8×+-commutative
2×1-exp
2×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02395
13095
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(if (<=.f64 x 3246626956972881/295147905179352825856) (/.f64 x (+.f64 (*.f64 1/2 x) 2)) (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
(/.f64 x 2)
2
Outputs
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(if (<=.f64 x 3246626956972881/295147905179352825856) (/.f64 x (+.f64 (*.f64 1/2 x) 2)) (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(if (<=.f64 x 3246626956972881/295147905179352825856) (/.f64 x (+.f64 (*.f64 x 1/2) 2)) (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
(/.f64 x (+.f64 (*.f64 x 1/2) 2))
(/.f64 x 2)
2
Compiler

Compiled 41 to 32 computations (22% saved)

soundness199.0ms (3.8%)

Rules
1736×fma-def
892×unswap-sqr
882×log-prod
876×distribute-lft-in
852×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0951
119551
2272551
03163885
17153601
223643515
Stop Event
1×node limit
1×node limit
Compiler

Compiled 245 to 187 computations (23.7% saved)

end51.0ms (1%)

Compiler

Compiled 92 to 70 computations (23.9% saved)

Profiling

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